Home / 1,193.21-1,789.94-413.11

Finding the Fourth Proportional to 1,193.21, 1,789.94 and 413.11

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Solution

The fourth proportional to 1,193.21, 1,789.94 and 413.11 is: 619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.21 : 1,789.94 = 413.11 : x
  2. Step 2: Convert to fraction form
    1,193.21/1,789.94 = 413.11/x
  3. Step 3: Cross multiply
    1,193.21x = 1,789.94 × 413.11
  4. Step 4: Simplify right side
    1,193.21x = 739,442.11
  5. Step 5: Solve for x
    x = 739,442.11/1,193.21
  6. Step 6: Final answer
    x = 619.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.